Transforms

Plot complex-valued function transforms to examine their behaviors.

Use AbsArgPlot to graph the magnitude of a Fourier transform as a function of a real variable.

Plot the Laplace transform as a function of a complex variable. The inverse of the Laplace transform (see http://mathworld.wolfram.com/BromwichIntegral.html) involves an integral over a vertical contour that is to the right of all singularities of the transform. As can be seen from the plot below, the contour must lie to the right of .

Compute a transform of a function. There are eight simple zeros and a pole of order 9 at .